The influence of initial age structure on predator-prey interaction

Ecological Modelling

Volumn 114, Issue 2-3, 1999, Pages 195-211

  Hance, Th ^a   Van Impe, G ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Age structure; Daily growth rate; Metapopulation; Phytoseiulus persimilis; Prey predator model; Tetranychus urticae

Indexed keywords

AGE STRUCTURE; MODELING; POPULATION GROWTH; PREDATOR-PREY INTERACTION;

PHYTOSEIULUS PERSIMILIS; TETRANYCHUS URTICAE;

EID: 0032939018     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3800(98)00148-3     Document Type: Article

References (35)

1. Andrewartha H.G., Birch L.C. The Distribution and Abundance of Animal. 1954;782 The University of Chicago Press, Chicago.
2. Bernstein C. A simulation model for an acarine predator-prey system (Phytoseiulus persimilis -Tetranychus urticae). J. Anim. Ecol. 54:1985;375-389.
3. Birch L.C. The intrinsic rate of natural increase of an insect population. J. Anim. Ecol. 17:1948;15-26.
4. Carey J.R. Demography of the twospotted spider mite, Tetranychus urticae Koch. Oecologia. 52:1982;389-395.
5. Carey J.R. Practical application of the stable age distribution: analysis of a tetranychid mite (Acari: Tetranychidae) population outbreak. Environ. Entomol. 12:1983;10-18.
6. Carey J.R. Applied Demography for Biologists. 1993;206 Oxford University Press, New York.
7. Caswell H. Matrix Population Models. 1989;328 Sinauer Associates, Sunderland, MA.
8. Charlesworth B. Evolution in Age-Structured Populations. 1980;Cambridge University Press, Cambridge, MA.
9. Feldmann A.M. Life table and male mating competitiveness of a wild type and a chromosome mutation strain of Tetranychus urticae in relation to genetic pest control. Entomol. Exp. Appl. 29:1981;125-137.
10. Fernando M.H.J.P., Hassel M.P. Predator-prey responses in an acarine system. Res. Pop. Ecol. 22:1980;301-322.
11. Gonzales-Andujar J.L., Perry J.N. Chaos, metapopulation and dispersal. Ecol. Model. 65:1993;255-263.
12. Gonzales-Andujar J.L., Perry J.N. The effect of dispersal between chaotic and non-chaotic populations within a metapopulation. Oikos. 66:1993;555-557.
13. Hance Th. Les paramètres démographiques de Phytoseiulus persimilis Athias-Henriot (Acari: Phytoseiidae) en relation avec ses possibilités de contrôle de Tetranychus urticae Koch (Acari: Tetranychidae). Ann. Soc. R. Zool. Belg. 118:1988;161-171.
14. Hance Th. Modélisation de la croissance d'une population en phase colonisatrice: le cas de Aphis fabae Scopoli (Homoptera: Aphididae). Belg. J. Zool. 120:1989;3-20.
15. Hance Th., Pasleau A. Étude de la relation triphasique Haricot - Tetranychus urticae-Phytoseiulus persimilis et de l'impact positif du prédateur sur la plante hôte. Meded. Fac. Landbouwwet. Rijksuniv. Gent. 52:1987;433-448.
16. Hance Th., Pasleau A., Nihoul P. Étude des potentialités d'Amblyseius andersoni Chant (Acari: Phytoseiidae) pour le contrôle biologique de l'acarien phytophage Tetranychus urticae Koch (Acari: Tetranychidae). Meded. Fac. Landbouwwet. Rijksuniv. Gent. 56:1991;325-341.
17. Hance T., Van Impe G. Survival rate of Phytoseiulus persimilis Athias-Henriot (Acari: Phytoseiidae) without prey. Belg. J. Zool. 121((Suppl. 1)):1991;22.
18. Huffaker C.B. Studies on predation.: dispersion factors for predator-prey oscillations. Hilgardia. 27:1958;343-383.
19. Janssen A., van Gool E., Lingeman R., Jacass J., van de Klashorst G. Metapopulation dynamics of a persisting predator-prey system in the laboratory: time series analysis. Exp. Appl. Acarol. 21:1997;415-430.
20. Kennedy G.G., Smitley D.R. Dispersal. Helle W., Sabelis M.W. Spider Mites. Their Biology, Natural Enemies and Control. 1A:1985;233-242 Elsevier, Amsterdam.
21. Leslie P.H. On the use of matrices in certain population mathematics. Biometrika. 33:1945;183-212.
22. Leslie P.H. Some further notes on the use of matrices in population mathematics. Biometrika. 35:1948;213-245.
23. Lewis P.H. On the generation and growth of a population. Sankhya. 6:1942;93-96.
24. Lotka A.J. Element of Physical Biology. 1925;Williams and Wilkins, Baltimore, MD.
25. Mitchell R. An analysis of dispersal in mites. Am. Nat. 104:1970;425-431.
26. Murray B.G. Population Dynamics. Alternative Models. 1979;212 Academic Press, New York.
27. Nachman G. Temporal and spatial dynamics of an acarine predator-prey system. J. Anim. Ecol. 50:1981;435-451.
28. Prigogine, I., Stengers I., 1979. La Nouvelle Alliance, Folio, Paris, France.
29. Ruxton G.D. Linked populations can still be chaotic. Oikos. 68:1993;347-348.
30. Sabelis M.W., Diekmann O., Jansen V.A.A. Metapopulation persistence despite local extinction: prey-predator patch models of the Lotka-Volterra type. Biol. J. Linn. Soc. 42:1991;267-283.
31. Sabelis M.W., Van der Meer J. Local dynamics of the interaction between predatory mites and two-spotted spider mites. Metz J.A.J., Diekmann O. Dynamics of Physiologically Structured Population. Lecture Notes in Biomathematics. 68:1986;322-344 Springer, Berlin.
32. SAS Institute Inc., 1985. SAS® User's guide: Statistics, version 5, Ed Cary, NC.
33. Taylor F. Convergence to the stable age distribution in population of insects. Am. Nat. 113:1979;511-530.
34. Van Impe, G. 1985. Contribution à la conception de stratégies de contrôle de l'Acarien tisserand commun, Tetranychus urticae Koch (Acari: Tetranychidae). PhD thesis, Université Catholique de Louvain, Louvain-la-Neuve, Belgium.
35. Van Impe G., Hance T. Etude comparative de la biomasse des populations d'Aphis fabae Scopoli (Homoptera: Aphididae) et de Tetranychus urticae Koch (Acari: Tetranychidae). Meded. Fac. Landbouwwet. Rijksuniv. Gent. 56:1991;343-353.